Modeling and analysis of Duhem hysteresis operators with butterfly loops

In this work we study and analyze a class of Duhem hysteresis operators that can exhibit butterfly loops. We study firstly the consistency property of such operator which corresponds to the existence of an attractive periodic solution when the operator is subject to a periodic input signal. Subseque...

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Bibliographic Details
Published in:arXiv.org 2021-07
Main Authors: Vasquez-Beltran, M A, Jayawardhana, B, Peletier, R
Format: Article
Language:English
Subjects:
Hysteresis
Operators
Online Access:Get full text
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Summary:In this work we study and analyze a class of Duhem hysteresis operators that can exhibit butterfly loops. We study firstly the consistency property of such operator which corresponds to the existence of an attractive periodic solution when the operator is subject to a periodic input signal. Subsequently, we study the two defining functions of the Duhem operator such that the corresponding periodic solutions can admit a butterfly input-output phase plot. We present a number of examples where the Duhem butterfly hysteresis operators are constructed using two zero-level set curves that satisfy some mild conditions.
ISSN:2331-8422